By Edoardo Benvenuto
This booklet is without doubt one of the best i've got ever learn. to jot down a foreword for· it's an honor, tough to simply accept. we all know that architects and grasp masons, lengthy ahead of there have been mathematical theories, erected buildings of brilliant originality, energy, and sweetness. lots of those nonetheless stand. have been it now not for our now acid surroundings, lets count on them to face for hundreds of years extra. We respect early architects' obvious good fortune within the distribution and stability of thrusts, and we presume that grasp masons had ideas, maybe held mystery, that enabled them to show architects' daring designs into fact. we all know that rational theories of power and elasticity, created centuries later, have been prompted through the wondrous constructions that males of the 16th, 17th, and eighteenth centuries observed day-by-day. Theorists comprehend that after, ultimately, theories began appearing, architects distrusted them, partially simply because they generally omitted information of value in real development, partially simply because no one yet a mathematician may well comprehend the purpose and func tion of a mathematical idea designed to symbolize a side of nature. This publication is the 1st to teach how statics, power of fabrics, and elasticity grew along present structure with its millenial traditions, its host of successes, its ever-renewing kinds, and its a variety of difficulties of upkeep and service. In reference to stories towards fix of the dome of St. Peter's via Poleni in 1743, on p.
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Additional info for An Introduction to the History of Structural Mechanics: Part II: Vaulted Structures and Elastic Systems
A. Couplet, "De la poussee des terres contre leur revestements ... ," Memoires de l'Academie Royale des Sciences (1728), part 1, pp. 106-164; part 2, ibid. (1729) pp. 139-178; part 3, ibid. (1730), pp. 113-138. A. Couplet, "De la poussee des voutes," Memoires de l'Academie Royale des Sciences (1731) pp. 79-117, (hereafter cited as Couplet, "De la poussee des voutes") p. 80. 340 10. First Theories about the Statics of Arches and Domes and on the abutment. First, we suppose that we know the weight QA of the keystone.
He begins his work as follows: Many authors have studied vaults of simple arches with great care. The last volumes of the memoirs of the Academie contain excellent essays on this subject, and among them we must distinctly quote that of M. Couplet. There remain only the domes which nobody, as far as I know, has examined. The use of domes is quite frequent in many of our buildings. I shall show that an infinity of curved lines are appropriate to form these types of vaults, and at the same time I shall indicate the way of selecting them.
7 We should point out that the affinity is not directly demonstrated in Gregory's work; rather it is left to intuition. The man who finally established the curvature of a thin arch "whose parts support each other because of their own weight without using mortar" was Jakob Bernoulli, Johann's brother. He provides an elegant and very simple demonstration in a Problem "solved December 5, 1704" and published in a slightly expanded form as number 29 in his Varia posthuma. 5] ... is to be regarded as a wedge trying to force itself into triangle DQE.
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